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Finding the Third Proportional to 116,446 and 180,361

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Solution

The third proportional to 116,446 and 180,361 is: 279,357.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,446 : 180,361 = 180,361 : x
  2. Step 2: Convert to fraction form
    116,446/180,361 = 180,361/x
  3. Step 3: Cross multiply
    116,446x = 180,361 × 180,361
  4. Step 4: Simplify right side
    116,446x = 32,530,090,321
  5. Step 5: Solve for x
    x = 32,530,090,321/116,446
  6. Step 6: Final answer
    x = 279,357.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.